Find the solutions to the following equation: x – 2x – 4 = 0 O A. x=-l±5 O B. x3= O c. x%= O D. x=1+5 2. 1.

Q: In the given question/s, determine whether the statement is true or false. If it is false, explain…

A: In the given question/s, determine whether the statement is true or false. If it is false, explain…

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Q: Determine an integrating factor and solve the following differential equations. xdy-yd-{-r'\dr=0…

A: Given: 1. xdy - ydx-(1-x3)dx=0 The first-order linear ODE has the form of y'(x) +p(x)y=q(x)

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A: Step to solve the linear differential equation: -  Step No. 1: Simplify the differential equation by…

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Q: Find the particular solution of y (1+2 In?2) dx + xdy = 0 y(e) = e.

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Q: In the given question/s, determine whether the statement is true or false. If it is false, explain…

A: Given, If y = ln π , then yr = 1/π

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Q: Let's plug in some specific numbers for our constants: HP = 0.4H – 0.01H L dt TP –0.3L+0.005H L dt…

A: Given,  dHdt=0.4H-0.01HLdLdt=-0.3L+0.005HL Yes, there are points for which the values of H and L…

Q: (e) [ a +hm (1+lnt) t ln t dt 2.

A: Using substitution tlnt = x

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Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

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Q: Solve the following using integration by parts. - determine the best u and dv for the given…

A: Let          I= ∫x31-x2dx            - (1) Now, substituting 1-x2=t2        - (2)   Then   xdx=-tdt…

Q: 4. Calculate the concentrations of H" in the pure water solution with pH = 6.90. A. 1.10 x 10 M B.…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y – 3x)dx + xdy = 0

A: An integrating factor is a function that is chosen to facilitate the solving of a given equation…

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Q: Find 1. y = ar' + br constant) + cr+d (a, b. c.d

A: Given ,  y = ax3 + bx2 + cx + d      (a , b , c , d constant) We have to find dy/dx We know that ,…

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Q: Determine whether the following equation are separable. If so, solve the initial value problem.

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Q: Solve the following D·E 4) dx + xdy = x²e° dy

A: First divide dy both sides.

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Q: For each of the following, identify the dependent and independent variables. For parts (c), (d) and…

A: As per our company guidelines, we can solve first three sub-parts. If you want other sub-parts to be…

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Q: Perfo Determine the antiderivatives of the following 1. S sec24x dx 2. S(tanx - 1)2²dx dx 3. S;…

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Q: dy 1+ e (1-号)

A: Let's find.

Q: Solve the following differential expation (1) -- 6y 0

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Solve the following differential equation Integrating Factor by Inspection:  ydx+x(x2y-1)dy=0

A: The given differential equation is                                   ydx+x(x2y-1)dy=0

Q: S x²eïdx

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Q: 5. Solve the following DE a² dx = x/x² – a² dy. 6. Solve the following DE x?yy' = e".

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Q: A. Solve the following equation using integrating factors found by inspection. 5. x(x? - y? - x)dx –…

A: Given differential equation is: x(x2-y2-x)dx-y(x2-y2)dy=0 To solve the equation using integrating…

Q: Solve the following differential equation by dividing interval to 4 equal parts (1 + Ax)y" + By¹ +…

A: Given,              (1+Ax)y''+By'+Cy=Dxy(a)=0, y'(b)=1 Where             A=-3, B=2, C=-1, D=2, a=2,…

Q: 10. V² dx

A: the given integral is: ∫x23dx we have to solve the given integration.

Q: x" + 4x'+ 3x = 72t + 100 e3", x(0) = 1, x'(0) = 2 Solve the above IVP and then find x(0.25). Put…

A: The given differential equation is x''+4x'+3x=72t+100e-3t, x0=1,x'0=2. The auxiliary equation is…

Q: Choose the correct answer for the following integration e2 dx 2x (In x)3 e (A) e (B) -3 7 (C) 7 (D)…

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Q: Solve the following D-E 3) +y = y3 dx 4) dx + xdy = x?e dy dx dy

A: All given equations are first order Bernoulli Ordinary Differential Equation (ODE). which we will…

Q: solve the following D.E dy 3x - Y = Ln X+l

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Q: (x³y³ + 1)dx + x*y?dy = 0

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Q: 12. fe"dk = А. 1-е! В. -1-е! C. e+e D. -1+e 13. felnx dx = A +k В. +k C. e +k D. 2ehr +k Inx 513

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Q: Solve the following by indicating the steps and describe the process: sinx dx SCOS² 1.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: Do as indicated: 1. Solve the DE: (xy'+y)(1+2e* +e +e*)- xe = 0 *)-xe*: %3D

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Q: Solve the following D.E. 1. zy+y+ye* =0

A: We will find out the required general solution.

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.